Relative formulae for the spectral invariants of the \(b\)-calculus and generalized APS boundary problems of Dirac operators (Q868752)
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scientific article; zbMATH DE number 5129582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative formulae for the spectral invariants of the \(b\)-calculus and generalized APS boundary problems of Dirac operators |
scientific article; zbMATH DE number 5129582 |
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Relative formulae for the spectral invariants of the \(b\)-calculus and generalized APS boundary problems of Dirac operators (English)
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26 February 2007
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By applying their gluing theorems proved in [J. Geom. Anal. 15, No.~2, 285--319 (2005; Zbl 1085.58017); Adv. Math. 202, No. 2, 401--450 (2006; Zbl 1110.58023)] the authors are able to relate zeta determinants of Dirac operators with generalized APS boundary conditions for compact manifolds with boundary and parallel b-Zeta determinants of perturbed Dirac operators on the corresponding complete manifolds with cylindrical ends.
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Dirac operators
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b-calculus
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\(\zeta\)-determinants
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